34424429760 has 448 divisors, whose sum is σ = 140524016640. Its totient is φ = 7867321344.

The previous prime is 34424429759. The next prime is 34424429773. The reversal of 34424429760 is 6792442443.

34424429760 is a `hidden beast` number, since 344 + 244 + 2 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4895367 + ... + 4902393.

It is an arithmetic number, because the mean of its divisors is an integer number (313669680).

Almost surely, 2^34424429760 is an apocalyptic number.

34424429760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34424429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70262008320).

34424429760 is an abundant number, since it is smaller than the sum of its proper divisors (106099586880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34424429760 is an frugal number, since it uses more digits than its factorization.

34424429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7072 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 34424429760 in words is "thirty-four billion, four hundred twenty-four million, four hundred twenty-nine thousand, seven hundred sixty".